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Finding the Fourth Proportional to 200, 299.98 and 55.68

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Solution

The fourth proportional to 200, 299.98 and 55.68 is: 83.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 299.98 = 55.68 : x
  2. Step 2: Convert to fraction form
    200/299.98 = 55.68/x
  3. Step 3: Cross multiply
    200x = 299.98 × 55.68
  4. Step 4: Simplify right side
    200x = 16,702.89
  5. Step 5: Solve for x
    x = 16,702.89/200
  6. Step 6: Final answer
    x = 83.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.